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Finding the Fourth Proportional to 1,565.62, 2,344.32 and 1,258.53

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Solution

The fourth proportional to 1,565.62, 2,344.32 and 1,258.53 is: 1,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.62 : 2,344.32 = 1,258.53 : x
  2. Step 2: Convert to fraction form
    1,565.62/2,344.32 = 1,258.53/x
  3. Step 3: Cross multiply
    1,565.62x = 2,344.32 × 1,258.53
  4. Step 4: Simplify right side
    1,565.62x = 2,950,397.05
  5. Step 5: Solve for x
    x = 2,950,397.05/1,565.62
  6. Step 6: Final answer
    x = 1,884.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.